What is the Greatest Common Factor of 98974 and 98991?

Greatest common factor (GCF) of 98974 and 98991 is 17.

GCF(98974,98991) = 17

We will now calculate the prime factors of 98974 and 98991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98974 and 98991.

How to find the GCF of 98974 and 98991?

We will first find the prime factorization of 98974 and 98991. After we will calculate the factors of 98974 and 98991 and find the biggest common factor number .

Step-1: Prime Factorization of 98974

Prime factors of 98974 are 2, 17, 41, 71. Prime factorization of 98974 in exponential form is:

98974 = 2¹ × 17¹ × 41¹ × 71¹

Step-2: Prime Factorization of 98991

Prime factors of 98991 are 3, 17, 647. Prime factorization of 98991 in exponential form is:

98991 = 3² × 17¹ × 647¹

Step-3: Factors of 98974

List of positive integer factors of 98974 that divides 98974 without a remainder.

1, 2, 17, 34, 41, 71, 82, 142, 697, 1207, 1394, 2414, 2911, 5822, 49487

Step-4: Factors of 98991

List of positive integer factors of 98991 that divides 98974 without a remainder.

1, 3, 9, 17, 51, 153, 647, 1941, 5823, 10999, 32997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98974 and 98991. The biggest common factor number is the GCF number.
So the greatest common factor 98974 and 98991 is 17.

Also check out the Least Common Multiple of 98974 and 98991